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10704908313 = 321117193110799
BaseRepresentation
bin10011111100000111…
…11111000000011001
31000122001011200112200
421332003333000121
5133410424031223
64530123200413
7526164135141
oct117603770031
930561150480
1010704908313
1145a3707070
1220a9076109
131017a57998
14737a17921
15429beea43
hex27e0ff019

10704908313 has 96 divisors (see below), whose sum is σ = 19408896000. Its totient is φ = 5597683200.

The previous prime is 10704908261. The next prime is 10704908363. The reversal of 10704908313 is 31380940701.

It is a happy number.

10704908313 is a `hidden beast` number, since 10 + 70 + 490 + 83 + 13 = 666.

It is not a de Polignac number, because 10704908313 - 28 = 10704908057 is a prime.

It is a super-2 number, since 2×107049083132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10704908363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 985888 + ... + 996686.

It is an arithmetic number, because the mean of its divisors is an integer number (202176000).

Almost surely, 210704908313 is an apocalyptic number.

It is an amenable number.

10704908313 is a deficient number, since it is larger than the sum of its proper divisors (8703987687).

10704908313 is a wasteful number, since it uses less digits than its factorization.

10704908313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10883 (or 10880 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10704908313 in words is "ten billion, seven hundred four million, nine hundred eight thousand, three hundred thirteen".

Divisors: 1 3 9 11 17 19 31 33 51 57 93 99 153 171 187 209 279 323 341 527 561 589 627 969 1023 1581 1683 1767 1881 2907 3069 3553 4743 5301 5797 6479 10013 10659 10799 17391 19437 30039 31977 32397 52173 58311 90117 97191 110143 118789 183583 205181 330429 334769 356367 550749 615543 991287 1004307 1069101 1652247 1846629 2019413 2256991 3012921 3488077 3682459 5691073 6058239 6360611 6770973 10464231 11047377 17073219 18174717 19081833 20312919 31392693 33142131 38368847 51219657 57245499 62601803 69966721 108130387 115106541 187805409 209900163 324391161 345319623 563416227 629700489 973173483 1189434257 3568302771 10704908313